Journal ArticleDOI
Topology optimization of non-linear elastic structures and compliant mechanisms
T.E. Bruns,Daniel A. Tortorelli +1 more
TLDR
In this paper, the material density field is filtered to enforce a length scale on the field variation and is penalized to remove less effective intermediate densities to resolve the non-existent solution to the solid void topology problem.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2001-03-16. It has received 1125 citations till now. The article focuses on the topics: Topology optimization & Optimization problem.read more
Citations
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Journal ArticleDOI
Maximization of the fundamental eigenfrequency of micropolar solids through topology optimization
Matteo Bruggi,Alberto Taliercio +1 more
TL;DR: In this paper, a topology optimization approach is proposed to maximize the fundamental eigenfrequency of 2D bodies made of Cosserat materials using a SIMP-like model to approximate the constitutive parameters of the micropolar medium.
Journal ArticleDOI
Topology optimization with linearized buckling criteria in 250 lines of Matlab
TL;DR: A 250-line Matlab code is presented to handle stiffness, volume and buckling load factors either as the objective function or as constraints and uses the Kreisselmeier-Steinhauser aggregation function to reduce multiple objectives to a single, differentiable one.
Journal ArticleDOI
Topology optimization of support structure layout in metal-based additive manufacturing accounting for thermal deformations
TL;DR: An adapted stiffness tensor formulation for lattice type support structures based on a surrogate model and a general inherent strain method are presented to simulate the complex thermal behaviour of the printed part.
Journal ArticleDOI
Compliant mechanism design with non-linear materials using topology optimization
Daeyoon Jung,Hae Chang Gea +1 more
TL;DR: Optimal compliant mechanism examples for maximizing the mechanical advantage are presented and the effect of non-linear material on the optimal design are considered.
Journal ArticleDOI
Integrated component-support topology optimization for additive manufacturing with post-machining
TL;DR: In this paper, a method to perform simultaneous topology optimization of component and support structures considering typical metal additive manufacturing (AM) restrictions and post-print machining requirements is presented.
References
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Book
The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Journal ArticleDOI
Generating optimal topologies in structural design using a homogenization method
Martin P. Bendsøe,Noboru Kikuchi +1 more
TL;DR: In this article, the authors present a methodology for optimal shape design based on homogenization, which is related to modern production techniques and consists of computing the optimal distribution in space of an anisotropic material that is constructed by introducing an infimum of periodically distributed small holes in a given homogeneous, i.i.
Journal ArticleDOI
The method of moving asymptotes—a new method for structural optimization
TL;DR: In this article, a new method for non-linear programming in general and structural optimization in particular is presented, in which a strictly convex approximating subproblem is generated and solved.
Journal ArticleDOI
Material interpolation schemes in topology optimization
Martin P. Bendsøe,Ole Sigmund +1 more
TL;DR: In this article, the authors analyze and compare the various approaches to this concept in the light of variational bounds on effective properties of composite materials, and derive simple necessary conditions for the possible realization of grey-scale via composites, leading to a physical interpretation of all feasible designs as well as the optimal design.